Consider the ranks in any particular year as: Winner = 1, Runner up = 2, Third Place winner = 3, last place = 4 Denote teams by their initials.
India played Australia in 2013-15.
Hence, in all three years from 2013 to 2105, the matches were India vs Australia and New Zealand vs Pakistan.
Since New Zealand always finished in the top three, NZ
4.
In 2013, India was the runner up.
Hence, the rankings for 2013 are : Aus = 1, Ind = 2, NZ = 3, Pak = 4 Pakistan was the winner in 2014.
Hence, in 2014: Pak = 1, NZ = 2 India was the runner up in 2011.
Hence, in 2011, Ind = 2 Since Pakistan beat Australia in the semi final in 2009, Pakistan would have played the final and been the winner or runner up. Also, Australia would have been at third or fourth place. Also, since Australia and India did not play each other from 2009-2011, Australia would have played New Zealand for the third and fourth place.
Hence, India and Pakistan would have been the winner and runner up (in no specific order).
But Pakistan was the winner only in 2014. Hence, India was the winner in 2009.
Also, since New Zealand was always in the top three, Australia was fourth placed in 2009.
Hence, in 2009: Ind = 1, Pak = 2, NZ = 3, Aus = 4 The information so far can be tabulated as shown below:

Now, the champion of 2009 finished fourth in 2015. Hence, India was last in 2015.
In 2015, the matches were Ind vs Aus and NZ vs Pak. Hence, Australia was third.
Since no two teams ended at the same position in consecutive years, New Zealand and Pakistan were the winners and runner up in 2015. Hence, in 2015: NZ = 1, Pak = 2, Aus = 3, Ind = 4 Also, the winner of 2010 was last in 2009 Hence, in 2010, Aus = 1 Since a team could not have finished in the same position in two consecutive years, NZ
3 or 4 in 2010 (as it was always in the top three).
Hence, in 2010: NZ = 2 The runner up of 2012, slipped by one position in the next year.
Thus, the team ranked 3 in 2013 would have been ranked 2 in 2012.
Hence, in 2012: NZ = 2 The information so far is as tabulated below:

Consider 2011.
Since no team had the same position in consecutive years, Aus
1 in 2011. Since Pakistan were champions only in 2014, Pak
1 in 2011.
Hence, in 2011, NZ = 1 Using the same logic as the above step, in 2012, Ind = 1

Now, using the rule that a team cannot have the same rank in two consecutive years, the rest of the table can be filled as shown below.

Thus, India had a better finish than Australia in four years (2009, 2011, 2012 and 2014).
Answer: 4